Search a number
-
+
223212000133 = 19233076072741
BaseRepresentation
bin1100111111100001111…
…0001101001110000101
3210100011000202110121001
43033320132031032011
512124114233001013
6250313035453301
722061254460533
oct3177036151605
9710130673531
10223212000133
118673339a491
12373152b7231
13180832a76b5
14ab36bd7153
155c161adddd
hex33f878d385

223212000133 has 32 divisors (see below), whose sum is σ = 246469386240. Its totient is φ = 201205477440.

The previous prime is 223212000127. The next prime is 223212000211. The reversal of 223212000133 is 331000212322.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-223212000133 is a prime.

It is a super-3 number, since 3×2232120001333 (a number of 35 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a self number, because there is not a number n which added to its sum of digits gives 223212000133.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (223212000533) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 81433143 + ... + 81435883.

It is an arithmetic number, because the mean of its divisors is an integer number (7702168320).

Almost surely, 2223212000133 is an apocalyptic number.

223212000133 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

It is an amenable number.

223212000133 is a deficient number, since it is larger than the sum of its proper divisors (23257386107).

223212000133 is a wasteful number, since it uses less digits than its factorization.

223212000133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3697.

The product of its (nonzero) digits is 432, while the sum is 19.

Adding to 223212000133 its reverse (331000212322), we get a palindrome (554212212455).

The spelling of 223212000133 in words is "two hundred twenty-three billion, two hundred twelve million, one hundred thirty-three", and thus it is an aban number.

Divisors: 1 19 23 307 437 607 2741 5833 7061 11533 13961 52079 63043 134159 186349 265259 841487 1197817 1663787 3540631 4286027 15988253 19354201 31611953 38267101 81434513 367729819 510782609 727074919 9704869571 11748000007 223212000133